Toric Degeneration of Bott-Samelson-Demazure-Hansen varieties
Algebraic Geometry
2016-04-08 v1
Abstract
In this paper we construct a degeneration of Bott-Samelson-Demazure-Hansen varieties to toric varieties in an algebraic family and study the geometry of the resulting toric varieties. We give a natural set of torus invariant curves that generate the Chow group of -cycles of the limiting toric variety and express the ample cone of this toric variety as a sub-cone of the ample cone of the corresponding Bott-Samelson-Demazure-Hansen variety. We also give a description of Extremal and Mori rays and determine when this toric variety is Fano.
Keywords
Cite
@article{arxiv.1604.01998,
title = {Toric Degeneration of Bott-Samelson-Demazure-Hansen varieties},
author = {A. J Parameswaran and Paramasamy Karuppuchamy},
journal= {arXiv preprint arXiv:1604.01998},
year = {2016}
}